Opposite words for maximum:
tokenish, negligible, token, low, borderline, minimal, lowest, lessened, smallest, minimum, fewest, littlest, marginal, stripped, tiniest, lower limit, minutest, least, nominal, stripped-down, slightest.
Usage samples:
  1. A new nest is made each year, and four is the maximum number of eggs.
    "The Nests and Eggs of Indian Birds, Volume 1", Allan O. Hume.
  2. There is a maximum stream of electrons, and hence a maximum number of them crowded first into one and then into the other plate of the condenser.
    "Letters of a Radio-Engineer to His Son", John Mills.
  3. When he made his famous communication to the Gun Club, the anger of Captain Nicholl reached its maximum.
    "The Moon-Voyage", Jules Verne.
  4. A maximum of six months in prison.
    "Underground", Suelette Dreyfus.